Name
Abstract | ||
|---|---|---|
Piecewise cubic and quartic polynomial curves with adjustable interpolation points are presented in this paper. The adjustable interpolation points are represented by local shape parameters and the given control points. Based on the choice of endpoint tangents of curve segments, piecewise cubic C1, piecewise cubic G2 and piecewise quartic C2 curves are given. The representations of the piecewise cubic C1 curves and the piecewise quartic C2 curves are integrated representations of approximating and interpolating curves. By changing the values of the local shape parameters, local approximating curves and local interpolating curves can be generated respectively. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/SMI.2010.30 | Shape Modeling International |
Keywords | Field | DocType |
adjustable interpolation point,polynomial curves,local interpolating curve,local shape parameter,control point,interpolation,approximation theory,polynomial curve,interpolating curve,local interpolating curves,b-spline curve,piecewise cubic curve,quartic polynomial curves,endpoint tangent,curve segment,computational geometry,control points,piecewise quartic curves,local approximating curve,shape parameter,piecewise quartic,shape representation,interpolation curve,local approximating curves,adjustable interpolation points,local shape parameters,quartic polynomial curve,polynomials,spline,mathematical model,shape | Spline (mathematics),Mathematical optimization,Family of curves,Polynomial,Mathematical analysis,Interpolation,Quartic function,Tangent,Geometric design,Mathematics,Piecewise | Conference |
ISBN | Citations | PageRank |
978-1-4244-7260-4 | 0 | 0.34 |
References | Authors | |
9 | 1 | |